On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback | |
Guo, Bao-Zhu2,3![]() | |
刊名 | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
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2008-07-01 | |
卷号 | 14期号:3页码:632-656 |
关键词 | Rayleigh beam collocated control spectral analysis exponential stability |
ISSN号 | 1292-8119 |
DOI | 10.1051/cocv:2008001 |
英文摘要 | We study the dynamic behavior and stability of two connected Rayleigh beams that are subject to, in addition to two sensors and two actuators applied at the joint point, one of the actuators also specially distributed along the beams. We show that with the distributed control employed, there is a set of generalized eigenfunctions of the closed-loop system, which forms a Riesz basis with parenthesis for the state space. Then both the spectrum-determined growth condition and exponential stability are concluded for the system. Moreover, we show that the exponential stability is independent of the location of the joint. The range of the feedback gains that guarantee the system to be exponentially stable is identified. |
WOS研究方向 | Automation & Control Systems ; Mathematics |
语种 | 英语 |
出版者 | CAMBRIDGE UNIV PRESS |
WOS记录号 | WOS:000257337000012 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6529] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Guo, Bao-Zhu |
作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Dept Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Wang, Jun-Min,Zhou, Cui-Lian. On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2008,14(3):632-656. |
APA | Guo, Bao-Zhu,Wang, Jun-Min,&Zhou, Cui-Lian.(2008).On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,14(3),632-656. |
MLA | Guo, Bao-Zhu,et al."On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 14.3(2008):632-656. |
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